| Base | Representation |
|---|---|
| bin | 11011110000111100111011… |
| … | …010111001010010110000000 |
| 3 | 121000100201101020222010120220 |
| 4 | 123300330323113022112000 |
| 5 | 112001132230021320000 |
| 6 | 1111413041014103040 |
| 7 | 34502146434463614 |
| oct | 3360747327122600 |
| 9 | 530321336863526 |
| 10 | 122111211120000 |
| 11 | 359aa08a276523 |
| 12 | 11841b7964aa80 |
| 13 | 531a06507699b |
| 14 | 22222dd8c9344 |
| 15 | e1b5d5c111a0 |
| hex | 6f0f3b5ca580 |
122111211120000 has 640 divisors, whose sum is σ = 410214689280000. Its totient is φ = 32170186752000.
The previous prime is 122111211119951. The next prime is 122111211120007. The reversal of 122111211120000 is 21112111221.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (640).
It is a super-2 number, since 2×1221112111200002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122111211120007) by changing a digit.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 50900878801 + ... + 50900881199.
It is an arithmetic number, because the mean of its divisors is an integer number (640960452000).
Almost surely, 2122111211120000 is an apocalyptic number.
122111211120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 122111211120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205107344640000).
122111211120000 is an abundant number, since it is smaller than the sum of its proper divisors (288103478160000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122111211120000 is an equidigital number, since it uses as much as digits as its factorization.
122111211120000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4908 (or 4881 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 15.
Adding to 122111211120000 its reverse (21112111221), we get a palindrome (122132323231221).
The spelling of 122111211120000 in words is "one hundred twenty-two trillion, one hundred eleven billion, two hundred eleven million, one hundred twenty thousand".
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